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Complete the equation. Write the sum as a mixed number.

(4)/(3)+(2)/(7)=(◻)/(21)+(◻)/(21)=◻(◻)/(◻)

Complete the equation. Write the sum as a mixed number. $\newline$ $\frac{4}{3}+\frac{2}{7}=\frac{\square}{21}+\frac{\square}{21}=\square \frac{\square}{\square}$

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Multiplication with rational exponents

Full solution

Q. Complete the equation. Write the sum as a mixed number.

\newline

\frac{4}{3}+\frac{2}{7}=\frac{\square}{21}+\frac{\square}{21}=\square \frac{\square}{\square}

Find Common Denominator: Find a common denominator for the fractions $\frac{4}{3}$ and $\frac{2}{7}$ . $\newline$ To add fractions, they must have the same denominator. The least common denominator (LCD) of $3$ and $7$ is $21$ .
Convert Fractions to $21$ : Convert each fraction to have the denominator $21$ . $\newline$ $(\frac{4}{3}) = (\frac{4\times7}{3\times7}) = \frac{28}{21}$ $\newline$ $(\frac{2}{7}) = (\frac{2\times3}{7\times3}) = \frac{6}{21}$
Add Fractions: Add the fractions with the common denominator. $\newline$ $\frac{28}{21} + \frac{6}{21} = \frac{28 + 6}{21} = \frac{34}{21}$
Convert to Mixed Number: Convert the improper fraction to a mixed number. $\frac{34}{21} = 1 \frac{13}{21}$ (since $34$ divided by $21$ is $1$ with a remainder of $13$ )

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